Applications of the L-functions ratios conjectures

@article{Conrey2005ApplicationsOT,
  title={Applications of the L-functions ratios conjectures},
  author={J. B. Conrey and N. Snaith},
  journal={Proceedings of The London Mathematical Society},
  year={2005},
  volume={94},
  pages={594-646}
}
  • J. B. Conrey, N. Snaith
  • Published 2005
  • Mathematics
  • Proceedings of The London Mathematical Society
  • In upcoming papers by Conrey, Farmer and Zirnbauer there appear conjectural formulas for averages, over a family, of ratios of products of shifted L-functions. In this paper we will present various applications of these ratios conjectures to a wide variety of problems that are of interest in number theory, such as lower order terms in the zero statistics of L-functions, mollified moments of L-functions and discrete averages over zeros of the Riemann zeta function. In particular, using the… CONTINUE READING
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